March 16, 2017 3-4 classes. Time allotted for solving problems - 75 minutes!
Problems with a score of 3
№1. Kanga compiled five addition examples. What is the largest amount?
(A) 2 + 0 + 1 + 7 (B) 2 + 0 + 17 (C) 20 + 17 (D) 20 + 1 + 7 (E) 201 + 7
№2. Yarik marked the path from the house to the lake with arrows on the diagram. How many arrows did he draw wrong?
(A) 3 (B) 4 (C) 5 (D) 7 (E) 10
№3. The number 100 was increased by one and a half times, and the result was reduced by half. What happened?
(A) 150 (B) 100 (C) 75 (D) 50 (E) 25
№4. The picture on the left shows beads. Which picture shows the same beads?
№5. Zhenya made six three-digit numbers from the digits 2.5 and 7 (the numbers in each number are different). Then she arranged these numbers in ascending order. Which number came in third?
(A) 257 (B) 527 (C) 572 (D) 752 (E) 725
№6. The figure shows three squares, divided into cells. On the outermost squares, some of the cells are painted over, and the rest are transparent. Both of these squares were superimposed on the middle square so that their upper left corners coincided. Which of the figures is still visible?
№7. What is the smallest number of white cells in the picture that needs to be painted over so that there are more painted cells than white ones?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
№8. Masha drew 30 geometric shapes in this order: triangle, circle, square, rhombus, then again a triangle, circle, square, rhombus and so on. How many triangles did Masha draw?
(A) 5 (B) 6 (C) 7 (D) 8 (E) 9
№9. From the front, the house looks like the picture on the left. At the back of this house there is a door and two windows. What does he look like from behind?
№10. It's 2017 now. How many years from now will there be the next year in the record of which there is no number 0?
(A) 100 (B) 95 (C) 94 (D) 84 (E) 83
Tasks evaluating 4 points
№11. The balls are sold in packs of 5, 10, or 25 each. Anya wants to buy exactly 70 balls. What is the smallest number of packs she will have to buy?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
№12. Misha folded a square sheet of paper and poked a hole in it. Then he unfolded the sheet and saw what is shown in the picture on the left. What might the fold lines look like?
№13. Three turtles sit on the track at points A, INand FROM(see figure). They decided to gather at one point and find the sum of the distances they covered. What is the smallest amount they could get?
(A) 8 m (B) 10 m (C) 12 m (D) 13 m (E) 18 m
№14. In between numbers 1 6 3 1 7 you need to insert two characters + and two signs × so that you get the greatest result. What is it equal to?
(A) 16 (B) 18 (C) 26 (D) 28 (E) 126
№15. The strip in the figure is made up of 10 squares with side 1. How many of the same squares must be attached to it on the right to make the perimeter of the strip twice as large?
(A) 9 (B) 10 (C) 11 (D) 12 (E) 20
№16. In the checkered square, Sasha marked the cell. It turned out that in its column this cell is the fourth from the bottom and the fifth from the top. In addition, this cell is sixth from the left in its line. What is it on the right?
(A) second (B) third (C) fourth (D) fifth (E) sixth
№17. Fedya cut two identical figures from a 4 × 3 rectangle. What kind of figurine could he have failed?
№18. Each of the three boys thought of two numbers from 1 to 10. All six numbers were different. Andrey's sum of numbers is 4, Bori's is 7, Viti's is 10. Then one of Vitin's numbers is
(A) 1 (B) 2 (C) 3 (D) 5 (E) 6
№19. Numbers are placed in the cells of a 4 × 4 square. Sonya found a 2 × 2 square with the largest sum of numbers. What is this amount equal to?
(A) 11 (B) 12 (C) 13 (D) 14 (E) 15
№20. Dima rode his bike along the paths of the park. He drove into the park at the gate AND... During the walk, he turned right three times, left four times and turned around once. What gate did he go through?
(A) A (B) B (C) C (D) D (E) the answer depends on the order of turns
Problems with a score of 5
№21. Several children took part in the race. The number of those who ran before Misha is three times more than the number of those who ran after him. And the number of those who came running before Sasha is two times less than the number of those who came after her. How many children could have taken part in the race?
(A) 21 (B) 5 (C) 6 (D) 7 (E) 11
№22. Some shaded cells contain one flower at a time. Each white cell contains the number of cells with flowers that have a common side or vertex with it. How many flowers are hidden?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 11
№23. A three-digit number will be called amazing if among the six digits used to write it and the number following it, there are exactly three ones and exactly one nine. How many amazing numbers are there?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
№24. Each face of the cube is divided into nine squares (see figure). What is the largest number of squares that can be colored so that no two colored squares have a common side?
(A) 16 (B) 18 (C) 20 (D) 22 (E) 30
№25. A stack of cards with holes strung on a thread (see picture on the left). Each card is white on one side and shaded on the other. Vasya laid out the cards on the table. What could he have done?
№26. From the airport to the bus station, a bus leaves every three minutes, which takes 1 hour. 2 minutes after the bus departed from the airport, a car left and drove to the bus station for 35 minutes. How many buses did he overtake?
(A) 12 (B) 11 (C) 10 (D) 8 (E) 7
The international mathematical game-competition "Kangaroo-2017" was held on March 16, 2017. 143,591 students from 2,681 educational institutions of the Republic of Belarus took part in the most massive mathematical competition for schoolchildren in the world.
People began to use counting, measurements, calculations in life from the most ancient times. The origins of mathematical science are usually attributed to Ancient Egypt. In those distant times, knowledge was surrounded by mystery. Education provided access to public service and a wealthy life. Only the children of wealthy parents could attend schools. The first schools appeared at the palaces of the pharaohs, later at temples and large state institutions. The future pharaoh, despite his sacred and divine status, did not have any indulgences and privileges in the process of mastering the art of counting, measuring, calculating the areas and volumes of various figures. Every day he was obliged to solve mathematical problems that the teacher brought him on papyrus (a school notebook of that time), and there was no more important thing until all the problems were solved. This knowledge was necessary for the competent management of a great state.
Today, mathematicians around the world are making efforts to popularize this science. "Math for everyone!" - this is the motto of the international association "Kangaroo without Borders" (KSF - Le Kangourou sans Frontieres), which now includes 81 countries.
On March 16, guys from different countries tried their hand at solving problems prepared by the best teachers and teachers and approved at the annual conference of the KSF participating countries. It is pleasant to note that the group of Belarusian mathematicians came out on top in terms of the number of problems selected for assignments of six age levels.
In our country, on this day, 143,591 students solved problems, which is 6759 more than in the previous competition. The increase in the number of participants took place in all regions, with the exception of the Grodno region. The largest number of students participating in this intellectual competition is registered in the capital. The number of participants by region is shown in the diagram:
"Kangaroo" tasks are developed for six age groups: for 1-2, 3-4, 5-6, 7-8, 9-10 and 11 grades. The distribution of participants according to classes is as follows:
Recall that according to the rules of the competition, all tasks in the task are conditionally divided into three difficulty levels: simple, each of which is estimated at 3 points; more complex problems, for the solution of which a good knowledge of the school curriculum in mathematics is sometimes required (estimated at 4 points); complex, non-standard tasks, for the solution of which it is necessary to show ingenuity, the ability to reason, analyze (estimated at 5 points). The success of the assignments is reflected in the following diagrams.
Information on the success of the assignment for grades 1-2, on which the youngest participants worked:
Successful completion of the same task by grade 2 students:
When analyzing the results of this task, it is surprising that, in percentage terms, first-graders coped more successfully than second-graders, with the solution of 8 problems (a third of the task out of 24 tasks), and 8 more tasks (another third of the task) were solved equally successfully. Only with problems №№ 1, 5, 6, 8, 11, 12, 13 and 19 second-graders who study mathematics for a year longer, coped more successfully than first-graders.
Percentage of correctly solved tasks of the assignment for 3-4 grades by third graders:
Successful completion of the same task by grade 4 students:
In this task, fourth-graders confirmed a higher level of knowledge in comparison with third-graders, having coped more successfully in percentage terms on all tasks.
Statistical data on the performance of the assignment for grades 5-6 by students of grade 5:
Successful completion of the same task by grade 6 students:
In this task, the sixth graders also confirmed that they had acquired knowledge during the year, having completed the task more successfully than the fifth graders. Only problems №№ 7, 29 and 30 in percentage terms were solved equally successfully, in the rest the percentage of correct answers among sixth graders is higher than among fifth graders.
Data on the success of the assignment for grades 7-8 by grade 7 students:
Data on the performance of the same task by participants - students of grade 8:
A comparative analysis of the success of the task shows that the percentage of correctly solved problems is higher among older children, only the seventh-graders coped with problem No. 28 more successfully, and problems No. 23, 24, 25 and 29 were solved equally successfully by children from different parallels.
Information on the success of the assignment for grades 9-10, on which the ninth graders worked:
Successful completion of the same task by grade 10 students:
The comparative analysis of the success of the task is similar to the previous ones: in solving only one task No. 30, the younger children were more successful. The ninth-graders and tenth-graders showed the same percentage of correct answers for problems №№ 5, 12, 16, 24, 25, 27 and 29.
Information on the success of the assignment by grade 11 students:
The following diagram characterizes the level of difficulty of the tasks in general. She introduces the national average scores for each parallel:
We remind participants and organizers of the competition that the results are preliminary during the month. 1 month after posting on the website, the preliminary results of the competition are announced as final and are not subject to any changes.
We draw the attention of all participants, parents and teachers, that independent and honest work on the task is the main requirement for the organizers and participants of the game-competition. The organizing committee regrets that as a result of the work of the disqualification commission, cases of violation of the rules of the game-competition were once again found in certain educational institutions and by individual participants. Fortunately, this year the number of such violations has decreased, but this still continues to suffer in primary schools. Some teachers, in an effort to "help" their students, often cause tears from the little participants and well-founded complaints from their parents. After all, the tasks are designed in such a way that even the most prepared guys rarely complete them completely in the allotted time. For many years of carrying out "Kangaroo" even the winners of the international mathematical Olympiads did not always complete them in 75 minutes. How can one comment, for example, the fact that first graders, who, according to the teachers themselves, are still not very well trained to read and write, perform the same tasks better than second graders, as evidenced not only by the analysis of answers, but also by a higher average score for the country. Or such a fact: with the number of participants about 21,000 in a parallel of 3 classes across the country, 19 children showed the maximum possible result. Of these, only from one institution 8 participants - third graders scored 120 maximum possible points. It is time to send all the other teachers to the teacher of these children in this school for experience. These and other facts indicate that not all teachers and organizers fully understand their responsibility for organizing and conducting not only this, but other competitions as well. We are confident that most of the participants and organizers are honest and conscientious about the participation and organization of our games-contests.
The organizing committee congratulates all the participants of the Kangaroo-2017 game-competition. Each participant will receive a prize “for everyone”. Students who perform best in their area and institution will be rewarded with additional prizes. We express our gratitude to the organizers-coordinators of the game-competition in the districts (cities) and in educational institutions that responsibly reacted to the organization and conduct of the competition.
We wish all the participants of the competition success in the study of mathematics and other disciplines!
Kangaroo 2019 - math for everyone
The Kangaroo math competition is held annually and is perhaps one of the most popular in the world. It is attended by about 6 million schoolchildren, 2 million of whom are from the Russian Federation. Anyone can test their strength and take part. The difficulty of the tasks depends on the age of the participants. There are tasks for grade 2, for grade 3 and 4, for grade 5 and 6, for grade 7 and 8, for grade 9 and 10.
Kangaroo 2020
The next competition "Kangaroo 2020" will be held on March 19, 2020. Summing up will take place within a month after writing in schools. All participants are awarded a certificate indicating the location by country, district and school. In addition, valuable prizes are awarded to the winners and awardees. In this section, you can familiarize yourself with the competition tasks for previous years.
Kangaroo Olympiad 2020 tasks and answers
Summing up the results of the 2020 Olympiad will take some time. Tentative results will be announced by the end of April 2020.
For everyone who wants to know how many points they have scored, you can use: "Kangaroo" points calculator.
The tasks of the competition for 2020 on our resource will appear after they are published on the official website.
Testing "Kangaroo graduates" for grades 4, 9 and 11
Date: January 20-25, 2020The Kangaroo Graduate Test involves a 36-question test for grade 4, 48 questions for grade 9, and 60 questions for grade 11. Each question presupposes an answer: "yes" or "no". To prepare and assess the complexity of testing, we suggest that you familiarize yourself with the tasks of the past years.
Tasks and answers of the "Kangaroo" Olympiad for the past years
| 2019 year | ||
| 5-6 grade | ||
| 7-8 grade | ||
| 2018 year | ||
| 2nd grade | 3-4 class | 5-6 grade |
| 7-8 grade | 9-10 grade | |
| 2017 year | ||
| 2nd grade | 3-4 class | 5-6 grade |
| 7-8 grade | ||
| 2016 year | ||
| 2nd grade | 3-4 class | 5-6 grade |
| 7-8 grade | 9-10 grade | |
| 2015 year | ||
| 2nd grade | 3-4 class | 5-6 grade |
| 7-8 grade | 9-10 grade | |
| year 2014 | ||
| 2nd grade | ||
Sometimes life brings pleasant surprises.
My youngest son is the winner international Mathematical Olympiad "Kangaroo-2016"by gaining 100 points. An absolute result.
It is believed that numbers are more important for men than feelings or emotions.
Therefore, as a man, I should go straight to the statistics of the Olympiad, analysis of problems, analysis of solutions ...
A little bit later.
And now I will not dissemble and say like a man, with restrained dryness:
i am very pleased. 
Who creates the myths about "masculinity"?
"Majority", "gray mass", which, in the words of Franklin Roosevelt, 32 US President,
"Can neither enjoy from the heart, nor suffer
because he lives in gray darkness,
where there are no victories or defeats. "
Emotions are the essence human life. Contact with reality, with Life, generates emotions. The one who does not feel emotion does not feel.
Such a person is either not alive, or an official.
And my grandfather and my father, who went through the Second World War, happened, did not hide their emotions, talking about her.
An athlete who won the hardest fight, standing on a podium, does not hide tears of joy.
Why should I be a hypocrite? I am very pleased and I am proud of my son.
School education has discredited itself completely.
The influence of school grades on the fate of the child is minimal or negative. Any school grade for me is no more significant than the opinion of any of the representatives of the "majority."
But the Olympiads are a different reality. Here, the child can really show his abilities, will, the ability to overcome himself and the desire to win ...
Therefore, for the development of the child, the formation of his self-esteem, the Olympiads have a completely different meaning ...
100 points is good and pleasant.
But even just participate in the Olympiad, where there is nowhere to write off and there is no one to ask and ... to score these same points more than the "Average" - for a child this is already a victory. An important milestone in its development. The first experience of victories. The seeds of success that will inevitably sprout in his adult life.
Providing a child with the experience of such independence is closer to the concept of "Learning" than the entire program of a modern school that stereotypes the child's thinking, kills his abilities in the bud and minimizes the chances of becoming a truly successful and happy person.
Therefore, when a week after the results of the Kangaroo mathematical Olympiad were announced, my son took second place in the boxing tournament, I was no less happy, and maybe even more.
Yes, he could not beat an opponent who was both older and more experienced on points. But the judging team of the competition, among whose members there were two world champions, awarded the son special prize: "For the will to win".
Self-confidence, not fear of a “bad grade,” is where true education should be directed. Because it is precisely this quality that will allow a child to become successful in adult life, and not slide into a "gray mass that knows neither victories nor defeats" ...
And it doesn't matter where this quality is formed: in mathematics or boxing classes ...
Or even chess ...
Therefore, when it turned out that my son had reached the final of the Grand Prix of the Russian Chess School, I was also glad. This time in the final he failed to take a prize. “But still,” I said to myself, “To reach the final after a six-month series of qualifying rounds is not so bad as you think? ..”
...Too early and too narrow specialization is the enemy of natural and effective human development.
Even in agriculture for that. in order to avoid depletion of the soil and maintain its yield for many years, so-called "Crop rotation", sowing different crops in one field ...
Even if Vitali Klitschko, the super-heavyweight champion of the world, has a chess category and is able to hold out with the ex-world chess champion Garry Kasparov 31 moves ... why an ordinary boy cannot develop his legs, arms and head at the same time - for the good of everything yourself "?
Unfortunately, the majority of teachers and parents do not understand what ordinary peasants have understood for millennia ... Otherwise, we would have lived in a different society, more reasonable and happier.
And with fewer officials on one human soul.
Sometimes I hear: "Oh, what a capable child! .."
What are you talking about ?!
Recalling and paraphrasing Professor Preobrazhensky from "Heart of a Dog" I will say:
What are your "Abilities"? Kindergarten teacher? A school teacher with a teacher training college diploma that erased the remnants of rationality and humanism? Yes, they do not exist at all! What do you mean by this word? This is what: if I, instead of every day to be engaged in the upbringing and education of my own child, leave it to the above-mentioned "specialists" - then after a while I will find him "lack of ability". Consequently, the "ability" in your desire to raise your own child and in understanding how to do it right.
This is what I will be talking about in a series of open summer webinars on school education.
The Kangaroo competition has been held since 1994. It originated in Australia on the initiative of the famous Australian mathematician and educator Peter Holloran. The competition is designed for the most ordinary schoolchildren and therefore quickly won the sympathy of both children and teachers. The tasks of the competition are designed so that each student finds interesting and accessible questions for himself. After all, the main goal of this competition is to interest the children, instill in them confidence in their capabilities, and the motto is "Mathematics for everyone."
Now about 5 million schoolchildren all over the world participate in it. In Russia, the number of participants exceeded 1.6 million. In the Udmurt Republic 15-25 thousand schoolchildren take part in the "Kangaroo" every year.
In Udmurtia, the competition is held by the Other School Center for Educational Technologies.
If you are in another region of the Russian Federation, contact the central organizing committee of the competition - mathkang.ru
Competition procedure
If the number of participants in the competition at the school is less than 10 and the organizer cannot independently pick up the materials at the office of the regional organizing committee, then they are sent by registered mail by Russian Post, subject to payment of the registration fee, increased to 100 rubles. for one participant.
The competition is held in test form in one stage without any preliminary selection. The competition is held at the school. Participants are given tasks containing 30 problems, where each problem is accompanied by five answer options.
All work is given 1 hour 15 minutes of net time. Then the forms with the answers are submitted and sent to the Organizing Committee for centralized verification and processing.
After verification, each school that took part in the competition receives a final report, indicating the points received and the place of each student in the general list. All participants are given certificates, and the winners in parallel receive diplomas and prizes, the best ones are invited to mathematics camps.
Documents for organizers
Technical documentation:
Instructions for conducting a competition for teachers.
Form for the list of participants in the "KENGURU" competition for school organizers.
The notification form of the informed consent of the participants in the competition (their legal representatives) to the processing of personal data (to be completed by the school). Their filling is necessary due to the fact that the personal data of the participants of the competition are automatically processed using computer technology.
For organizers who want to additionally insure about the validity of collecting the tax fee from the participants, we offer the form of the Protocol of the meeting of the parent public, by the decision of which the powers of the school organizer will also be confirmed by the parents. This is especially true for those who plan to act as an individual.